id stringlengths 23 23 | text stringlengths 18 75 | math_ir dict | provenance dict |
|---|---|---|---|
synth_e3a.1_train_00000 | Fejtsd ki: (x - 2)(x + 9) | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "expand",
"seed_index": 0,
"split": "train",
"params": {
"op1": "-",
"a": 2,
"op2": "+",
"b": 9
}
} |
synth_e3a.1_train_00001 | Mennyi 1000-nak a 30 százaléka? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "percent_of",
"seed_index": 1,
"split": "train",
"params": {
"whole": 1000,
"pct": 30
}
} |
synth_e3a.1_train_00002 | Tudjuk, hogy Q 30%-kal több, mint P, és P pont 80. Határozd meg Q-t! | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "Q",
"type": "variable",
"label": "Q",... | {
"generator_version": "e3a.1",
"family": "percent_greater",
"seed_index": 2,
"split": "train",
"params": {
"larger": "Q",
"base": "P",
"pct": 30,
"val": 80
}
} |
synth_e3a.1_train_00003 | Végezd el a műveletet: 78 - 6 | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "arith_infix",
"seed_index": 3,
"split": "train",
"params": {
"a": 78,
"op": "-",
"b": 6
}
} |
synth_e3a.1_train_00004 | 10% kedvezménnyel 4000 forintot fizetünk. Mennyi volt az eredeti ár? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "P",
"type": "variable",
"label": "ere... | {
"generator_version": "e3a.1",
"family": "discount",
"seed_index": 4,
"split": "train",
"params": {
"pct": 10,
"price": 4000
}
} |
synth_e3a.1_train_00005 | Döntsd el, melyik a nagyobb tört: 3/6 vagy 1/8? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_cmp",
... | {
"generator_version": "e3a.1",
"family": "fraction_compare",
"seed_index": 5,
"split": "train",
"params": {
"a_num": 3,
"a_den": 6,
"b_num": 1,
"b_den": 8
}
} |
synth_e3a.1_train_00006 | Másodfokú egyenlet: x^2 + 2x + 7 = 0. Oldd meg! | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "quadratic",
"seed_index": 6,
"split": "train",
"params": {
"op1": "+",
"b": 2,
"op2": "+",
"c": 7
}
} |
synth_e3a.1_train_00007 | Egy derékszögű háromszög befogói 5 és 12. Mekkora az átfogó? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "euclidean",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "T",
"type": "triangle",
"label":... | {
"generator_version": "e3a.1",
"family": "pythagorean",
"seed_index": 7,
"split": "train",
"params": {
"a": 5,
"b": 12
}
} |
synth_e3a.1_train_00008 | Egy áru ára 10% kedvezmény után 4000 Ft. Mennyi volt az eredeti ár? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "P",
"type": "variable",
"label": "ere... | {
"generator_version": "e3a.1",
"family": "discount",
"seed_index": 8,
"split": "train",
"params": {
"pct": 10,
"price": 4000
}
} |
synth_e3a.1_train_00009 | Tudjuk, hogy A 20%-kal több, mint B, és B pont 40. Határozd meg A-t! | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "A",
"type": "variable",
"label": "A",... | {
"generator_version": "e3a.1",
"family": "percent_greater",
"seed_index": 9,
"split": "train",
"params": {
"larger": "A",
"base": "B",
"pct": 20,
"val": 40
}
} |
synth_e3a.1_train_00010 | Végezd el a műveletet: 4 * 5 | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "arith_infix",
"seed_index": 10,
"split": "train",
"params": {
"a": 4,
"op": "*",
"b": 5
}
} |
synth_e3a.1_train_00011 | Hányféleképpen választható ki 1 elem 6-ből, ha a sorrend nem számít? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "binomial",
"seed_index": 11,
"split": "train",
"params": {
"n": 6,
"k": 1
}
} |
synth_e3a.1_train_00012 | Szabályos érme feldobása után mennyi az írás esélye? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "Omega",
"type": "sample_space",
"labe... | {
"generator_version": "e3a.1",
"family": "fair_coin",
"seed_index": 12,
"split": "train",
"params": {
"side": "írás"
}
} |
synth_e3a.1_train_00013 | Feldobunk egy szabályos érmét. Mekkora a fej valószínűsége? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "Omega",
"type": "sample_space",
"labe... | {
"generator_version": "e3a.1",
"family": "fair_coin",
"seed_index": 13,
"split": "train",
"params": {
"side": "fej"
}
} |
synth_e3a.1_train_00014 | Írd fel szorzatként kibontva: (x - 1)(x + 9) | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "expand",
"seed_index": 14,
"split": "train",
"params": {
"op1": "-",
"a": 1,
"op2": "+",
"b": 9
}
} |
synth_e3a.1_train_00015 | C 50%-kal nagyobb, mint B. Ha B = 50, mennyi C? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "C",
"type": "variable",
"label": "C",... | {
"generator_version": "e3a.1",
"family": "percent_greater",
"seed_index": 15,
"split": "train",
"params": {
"larger": "C",
"base": "B",
"pct": 50,
"val": 50
}
} |
synth_e3a.1_train_00016 | Végezd el a műveletet: 77 + 3 | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "arith_infix",
"seed_index": 16,
"split": "train",
"params": {
"a": 77,
"op": "+",
"b": 3
}
} |
synth_e3a.1_train_00017 | Számítsd ki lnko(30, 48) értékét: legnagyobb közös osztó. | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "integer",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "gcd",
"seed_index": 17,
"split": "train",
"params": {
"a": 30,
"b": 48
}
} |
synth_e3a.1_train_00018 | Hasonlítsd össze: 1/4 és 3/7. Melyik a nagyobb? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_cmp",
... | {
"generator_version": "e3a.1",
"family": "fraction_compare",
"seed_index": 18,
"split": "train",
"params": {
"a_num": 1,
"a_den": 4,
"b_num": 3,
"b_den": 7
}
} |
synth_e3a.1_train_00019 | Keressük x-et: x^2 - 9x + 1 = 0 (másodfokú). | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "quadratic",
"seed_index": 19,
"split": "train",
"params": {
"op1": "-",
"b": 9,
"op2": "+",
"c": 1
}
} |
synth_e3a.1_train_00020 | Oldd meg az egyenletet: 6x + 15 = 10 | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "linear_eq",
"seed_index": 20,
"split": "train",
"params": {
"coef": 6,
"op": "+",
"b": 15,
"c": 10
}
} |
synth_e3a.1_train_00021 | Adott egy háromszög: két szöge 47 és 68 fok. Mekkora a harmadik szög? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "euclidean",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "T",
"type": "triangle",
"label":... | {
"generator_version": "e3a.1",
"family": "angle_sum",
"seed_index": 21,
"split": "train",
"params": {
"a": 47,
"b": 68
}
} |
synth_e3a.1_train_00022 | Mi 21 és 45 legnagyobb közös osztója? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "integer",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "gcd",
"seed_index": 22,
"split": "train",
"params": {
"a": 21,
"b": 45
}
} |
synth_e3a.1_train_00023 | Írd fel szorzatként kibontva: (x - 9)(x - 8) | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "expand",
"seed_index": 23,
"split": "train",
"params": {
"op1": "-",
"a": 9,
"op2": "-",
"b": 8
}
} |
synth_e3a.1_train_00024 | Kombináció: 2 elemet választunk 7-ből, sorrend nélkül. Hány lehetőség van? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "binomial",
"seed_index": 24,
"split": "train",
"params": {
"n": 7,
"k": 2
}
} |
synth_e3a.1_train_00026 | Oldd meg az egyenletet: 9x + 2 = 19 | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "linear_eq",
"seed_index": 26,
"split": "train",
"params": {
"coef": 9,
"op": "+",
"b": 2,
"c": 19
}
} |
synth_e3a.1_train_00027 | Számítsd ki: 500 40%-a mennyi? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "percent_of",
"seed_index": 27,
"split": "train",
"params": {
"whole": 500,
"pct": 40
}
} |
synth_e3a.1_train_00028 | Végezd el a műveletet: 50 - 20 | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "arith_infix",
"seed_index": 28,
"split": "train",
"params": {
"a": 50,
"op": "-",
"b": 20
}
} |
synth_e3a.1_train_00029 | Másodfokú egyenlet: x^2 - 4x - 2 = 0. Oldd meg! | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "quadratic",
"seed_index": 29,
"split": "train",
"params": {
"op1": "-",
"b": 4,
"op2": "-",
"c": 2
}
} |
synth_e3a.1_train_00030 | Írd fel szorzatként kibontva: (x - 7)(x + 3) | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "expand",
"seed_index": 30,
"split": "train",
"params": {
"op1": "-",
"a": 7,
"op2": "+",
"b": 3
}
} |
synth_e3a.1_train_00031 | Kedvezmény: 20%. Fizetendő: 12000 Ft. Mi volt az eredeti ár? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "P",
"type": "variable",
"label": "ere... | {
"generator_version": "e3a.1",
"family": "discount",
"seed_index": 31,
"split": "train",
"params": {
"pct": 20,
"price": 12000
}
} |
synth_e3a.1_train_00032 | Másodfokú egyenlet: x^2 - 5x + 9 = 0. Oldd meg! | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "quadratic",
"seed_index": 32,
"split": "train",
"params": {
"op1": "-",
"b": 5,
"op2": "+",
"c": 9
}
} |
synth_e3a.1_train_00033 | Derékszögű háromszög: a befogók 3 és 4. Számítsd ki az átfogót! | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "euclidean",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "T",
"type": "triangle",
"label":... | {
"generator_version": "e3a.1",
"family": "pythagorean",
"seed_index": 33,
"split": "train",
"params": {
"a": 3,
"b": 4
}
} |
synth_e3a.1_train_00034 | Háromszög szögei közül kettő: 39° és 65°. Mennyi a harmadik? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "euclidean",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "T",
"type": "triangle",
"label":... | {
"generator_version": "e3a.1",
"family": "angle_sum",
"seed_index": 34,
"split": "train",
"params": {
"a": 39,
"b": 65
}
} |
synth_e3a.1_train_00035 | Számítsd ki lnko(60, 21) értékét: legnagyobb közös osztó. | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "integer",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "gcd",
"seed_index": 35,
"split": "train",
"params": {
"a": 60,
"b": 21
}
} |
synth_e3a.1_train_00036 | Alakítsd szorzattá / fejtsd ki a kifejezést: (x - 6)(x - 5) | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "expand",
"seed_index": 36,
"split": "train",
"params": {
"op1": "-",
"a": 6,
"op2": "-",
"b": 5
}
} |
synth_e3a.1_train_00037 | 20% kedvezménnyel 8500 forintot fizetünk. Mennyi volt az eredeti ár? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "P",
"type": "variable",
"label": "ere... | {
"generator_version": "e3a.1",
"family": "discount",
"seed_index": 37,
"split": "train",
"params": {
"pct": 20,
"price": 8500
}
} |
synth_e3a.1_train_00038 | Szabályos érme feldobása után mennyi a fej esélye? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "Omega",
"type": "sample_space",
"labe... | {
"generator_version": "e3a.1",
"family": "fair_coin",
"seed_index": 38,
"split": "train",
"params": {
"side": "fej"
}
} |
synth_e3a.1_train_00039 | Mi az x értéke, ha 5x - 1 = 33? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "linear_eq",
"seed_index": 39,
"split": "train",
"params": {
"coef": 5,
"op": "-",
"b": 1,
"c": 33
}
} |
synth_e3a.1_train_00040 | Számítsd ki: 100 30%-a mennyi? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "percent_of",
"seed_index": 40,
"split": "train",
"params": {
"whole": 100,
"pct": 30
}
} |
synth_e3a.1_train_00041 | Mennyi 35 / 5 eredménye? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "arith_infix",
"seed_index": 41,
"split": "train",
"params": {
"a": 35,
"op": "/",
"b": 5
}
} |
synth_e3a.1_train_00042 | Számítsd ki: 61 / 20 | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "arith_infix",
"seed_index": 42,
"split": "train",
"params": {
"a": 61,
"op": "/",
"b": 20
}
} |
synth_e3a.1_train_00043 | 20% kedvezménnyel 4000 forintot fizetünk. Mennyi volt az eredeti ár? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "P",
"type": "variable",
"label": "ere... | {
"generator_version": "e3a.1",
"family": "discount",
"seed_index": 43,
"split": "train",
"params": {
"pct": 20,
"price": 4000
}
} |
synth_e3a.1_train_00044 | Melyik nagyobb: 1/9 vagy 3/5? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_cmp",
... | {
"generator_version": "e3a.1",
"family": "fraction_compare",
"seed_index": 44,
"split": "train",
"params": {
"a_num": 1,
"a_den": 9,
"b_num": 3,
"b_den": 5
}
} |
synth_e3a.1_train_00045 | Egy háromszög két szöge 30° és 38°. Mekkora a harmadik szög? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "euclidean",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "T",
"type": "triangle",
"label":... | {
"generator_version": "e3a.1",
"family": "angle_sum",
"seed_index": 45,
"split": "train",
"params": {
"a": 30,
"b": 38
}
} |
synth_e3a.1_train_00046 | Egy derékszögű háromszög befogói 6 és 8. Mekkora az átfogó? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "euclidean",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "T",
"type": "triangle",
"label":... | {
"generator_version": "e3a.1",
"family": "pythagorean",
"seed_index": 46,
"split": "train",
"params": {
"a": 6,
"b": 8
}
} |
synth_e3a.1_train_00047 | Egy derékszögű háromszög befogói 9 és 12. Mekkora az átfogó? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "euclidean",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "T",
"type": "triangle",
"label":... | {
"generator_version": "e3a.1",
"family": "pythagorean",
"seed_index": 47,
"split": "train",
"params": {
"a": 9,
"b": 12
}
} |
synth_e3a.1_train_00048 | Ismert két befogó (5 és 12) egy derékszögű háromszögben. Mekkora az átfogó? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "euclidean",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "T",
"type": "triangle",
"label":... | {
"generator_version": "e3a.1",
"family": "pythagorean",
"seed_index": 48,
"split": "train",
"params": {
"a": 5,
"b": 12
}
} |
synth_e3a.1_train_00049 | Alakítsd szorzattá / fejtsd ki a kifejezést: (x - 4)(x - 8) | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "expand",
"seed_index": 49,
"split": "train",
"params": {
"op1": "-",
"a": 4,
"op2": "-",
"b": 8
}
} |
synth_e3a.1_train_00050 | Hányféleképpen választható ki 4 elem 6-ből, ha a sorrend nem számít? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "binomial",
"seed_index": 50,
"split": "train",
"params": {
"n": 6,
"k": 4
}
} |
synth_e3a.1_train_00051 | Alakítsd szorzattá / fejtsd ki a kifejezést: (x - 8)(x - 2) | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "expand",
"seed_index": 51,
"split": "train",
"params": {
"op1": "-",
"a": 8,
"op2": "-",
"b": 2
}
} |
synth_e3a.1_train_00052 | Számold ki x-et a következőből: 4x + 1 = 18 | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "linear_eq",
"seed_index": 52,
"split": "train",
"params": {
"coef": 4,
"op": "+",
"b": 1,
"c": 18
}
} |
synth_e3a.1_train_00053 | Ha van 1000 egység, mennyi a 15 százaléka? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "percent_of",
"seed_index": 53,
"split": "train",
"params": {
"whole": 1000,
"pct": 15
}
} |
synth_e3a.1_train_00054 | Tudjuk, hogy D 50%-kal több, mint P, és P pont 50. Határozd meg D-t! | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "D",
"type": "variable",
"label": "D",... | {
"generator_version": "e3a.1",
"family": "percent_greater",
"seed_index": 54,
"split": "train",
"params": {
"larger": "D",
"base": "P",
"pct": 50,
"val": 50
}
} |
synth_e3a.1_train_00055 | Adott egy háromszög: két szöge 63 és 24 fok. Mekkora a harmadik szög? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "euclidean",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "T",
"type": "triangle",
"label":... | {
"generator_version": "e3a.1",
"family": "angle_sum",
"seed_index": 55,
"split": "train",
"params": {
"a": 63,
"b": 24
}
} |
synth_e3a.1_train_00056 | 20% kedvezménnyel 12000 forintot fizetünk. Mennyi volt az eredeti ár? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "P",
"type": "variable",
"label": "ere... | {
"generator_version": "e3a.1",
"family": "discount",
"seed_index": 56,
"split": "train",
"params": {
"pct": 20,
"price": 12000
}
} |
synth_e3a.1_train_00057 | Hasonlítsd össze: 1/8 és 3/7. Melyik a nagyobb? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_cmp",
... | {
"generator_version": "e3a.1",
"family": "fraction_compare",
"seed_index": 57,
"split": "train",
"params": {
"a_num": 1,
"a_den": 8,
"b_num": 3,
"b_den": 7
}
} |
synth_e3a.1_train_00058 | Határozd meg 12 és 15 legnagyobb közös osztóját! | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "integer",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "gcd",
"seed_index": 58,
"split": "train",
"params": {
"a": 12,
"b": 15
}
} |
synth_e3a.1_train_00060 | Oldd meg az egyenletet: 2x - 18 = 34 | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "linear_eq",
"seed_index": 60,
"split": "train",
"params": {
"coef": 2,
"op": "-",
"b": 18,
"c": 34
}
} |
synth_e3a.1_train_00061 | Mi 30 és 18 legnagyobb közös osztója? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "integer",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "gcd",
"seed_index": 61,
"split": "train",
"params": {
"a": 30,
"b": 18
}
} |
synth_e3a.1_train_00062 | Derékszögű háromszög: a befogók 6 és 8. Számítsd ki az átfogót! | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "euclidean",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "T",
"type": "triangle",
"label":... | {
"generator_version": "e3a.1",
"family": "pythagorean",
"seed_index": 62,
"split": "train",
"params": {
"a": 6,
"b": 8
}
} |
synth_e3a.1_train_00063 | Kombináció: 3 elemet választunk 7-ből, sorrend nélkül. Hány lehetőség van? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "binomial",
"seed_index": 63,
"split": "train",
"params": {
"n": 7,
"k": 3
}
} |
synth_e3a.1_train_00065 | Egy lineáris egyenlet: 7x + 11 = 22. Határozd meg x-et! | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "linear_eq",
"seed_index": 65,
"split": "train",
"params": {
"coef": 7,
"op": "+",
"b": 11,
"c": 22
}
} |
synth_e3a.1_train_00066 | Határozd meg 54 és 36 legnagyobb közös osztóját! | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "integer",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "gcd",
"seed_index": 66,
"split": "train",
"params": {
"a": 54,
"b": 36
}
} |
synth_e3a.1_train_00067 | D 30%-kal nagyobb, mint P. Ha P = 40, mennyi D? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "D",
"type": "variable",
"label": "D",... | {
"generator_version": "e3a.1",
"family": "percent_greater",
"seed_index": 67,
"split": "train",
"params": {
"larger": "D",
"base": "P",
"pct": 30,
"val": 40
}
} |
synth_e3a.1_train_00068 | Keressük x-et: x^2 - 5x + 5 = 0 (másodfokú). | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "quadratic",
"seed_index": 68,
"split": "train",
"params": {
"op1": "-",
"b": 5,
"op2": "+",
"c": 5
}
} |
synth_e3a.1_train_00069 | Kedvezmény: 25%. Fizetendő: 12000 Ft. Mi volt az eredeti ár? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "P",
"type": "variable",
"label": "ere... | {
"generator_version": "e3a.1",
"family": "discount",
"seed_index": 69,
"split": "train",
"params": {
"pct": 25,
"price": 12000
}
} |
synth_e3a.1_train_00070 | Hasonlítsd össze: 4/7 és 5/3. Melyik a nagyobb? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_cmp",
... | {
"generator_version": "e3a.1",
"family": "fraction_compare",
"seed_index": 70,
"split": "train",
"params": {
"a_num": 4,
"a_den": 7,
"b_num": 5,
"b_den": 3
}
} |
synth_e3a.1_train_00071 | Oldd meg a másodfokú egyenletet: x^2 + 1x - 5 = 0 | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "quadratic",
"seed_index": 71,
"split": "train",
"params": {
"op1": "+",
"b": 1,
"op2": "-",
"c": 5
}
} |
synth_e3a.1_train_00073 | Hányféleképpen vehetünk 3 darabot 5-ből, ha a sorrend nem számít? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "binomial",
"seed_index": 73,
"split": "train",
"params": {
"n": 5,
"k": 3
}
} |
synth_e3a.1_train_00074 | Számítsd ki lnko(56, 44) értékét: legnagyobb közös osztó. | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "integer",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "gcd",
"seed_index": 74,
"split": "train",
"params": {
"a": 56,
"b": 44
}
} |
synth_e3a.1_train_00075 | Fejtsd ki: (x + 5)(x - 3) | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "expand",
"seed_index": 75,
"split": "train",
"params": {
"op1": "+",
"a": 5,
"op2": "-",
"b": 3
}
} |
synth_e3a.1_train_00076 | Mennyi 34 * 6 eredménye? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "arith_infix",
"seed_index": 76,
"split": "train",
"params": {
"a": 34,
"op": "*",
"b": 6
}
} |
synth_e3a.1_train_00078 | Oldd meg az egyenletet: 6x + 13 = 17 | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "linear_eq",
"seed_index": 78,
"split": "train",
"params": {
"coef": 6,
"op": "+",
"b": 13,
"c": 17
}
} |
synth_e3a.1_train_00079 | Kombináció: 3 elemet választunk 5-ből, sorrend nélkül. Hány lehetőség van? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "binomial",
"seed_index": 79,
"split": "train",
"params": {
"n": 5,
"k": 3
}
} |
synth_e3a.1_train_00080 | Tudjuk, hogy A 10%-kal több, mint D, és D pont 20. Határozd meg A-t! | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "A",
"type": "variable",
"label": "A",... | {
"generator_version": "e3a.1",
"family": "percent_greater",
"seed_index": 80,
"split": "train",
"params": {
"larger": "A",
"base": "D",
"pct": 10,
"val": 20
}
} |
synth_e3a.1_train_00081 | Mennyi 30 / 10 eredménye? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "arith_infix",
"seed_index": 81,
"split": "train",
"params": {
"a": 30,
"op": "/",
"b": 10
}
} |
synth_e3a.1_train_00082 | Kedvezmény: 10%. Fizetendő: 8500 Ft. Mi volt az eredeti ár? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "P",
"type": "variable",
"label": "ere... | {
"generator_version": "e3a.1",
"family": "discount",
"seed_index": 82,
"split": "train",
"params": {
"pct": 10,
"price": 8500
}
} |
synth_e3a.1_train_00083 | C értéke 20 százalékkal meghaladja B-t. B = 50. Mennyi C? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "C",
"type": "variable",
"label": "C",... | {
"generator_version": "e3a.1",
"family": "percent_greater",
"seed_index": 83,
"split": "train",
"params": {
"larger": "C",
"base": "B",
"pct": 20,
"val": 50
}
} |
synth_e3a.1_train_00084 | Kombináció: 2 elemet választunk 9-ből, sorrend nélkül. Hány lehetőség van? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "binomial",
"seed_index": 84,
"split": "train",
"params": {
"n": 9,
"k": 2
}
} |
synth_e3a.1_train_00086 | Hányféleképpen választható ki 3 elem 6-ből, ha a sorrend nem számít? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "binomial",
"seed_index": 86,
"split": "train",
"params": {
"n": 6,
"k": 3
}
} |
synth_e3a.1_train_00087 | Mi 76 és 32 legnagyobb közös osztója? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "integer",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "gcd",
"seed_index": 87,
"split": "train",
"params": {
"a": 76,
"b": 32
}
} |
synth_e3a.1_train_00088 | Egy szabályos érmét feldobunk. Mennyi az írás valószínűsége? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "Omega",
"type": "sample_space",
"labe... | {
"generator_version": "e3a.1",
"family": "fair_coin",
"seed_index": 88,
"split": "train",
"params": {
"side": "írás"
}
} |
synth_e3a.1_train_00089 | Kombináció: 4 elemet választunk 7-ből, sorrend nélkül. Hány lehetőség van? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "binomial",
"seed_index": 89,
"split": "train",
"params": {
"n": 7,
"k": 4
}
} |
synth_e3a.1_train_00091 | Mi az x értéke, ha 6x + 6 = 35? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "linear_eq",
"seed_index": 91,
"split": "train",
"params": {
"coef": 6,
"op": "+",
"b": 6,
"c": 35
}
} |
synth_e3a.1_train_00092 | Kombináció: 1 elemet választunk 6-ből, sorrend nélkül. Hány lehetőség van? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "binomial",
"seed_index": 92,
"split": "train",
"params": {
"n": 6,
"k": 1
}
} |
synth_e3a.1_train_00093 | Tudjuk, hogy Q 20%-kal több, mint D, és D pont 80. Határozd meg Q-t! | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "Q",
"type": "variable",
"label": "Q",... | {
"generator_version": "e3a.1",
"family": "percent_greater",
"seed_index": 93,
"split": "train",
"params": {
"larger": "Q",
"base": "D",
"pct": 20,
"val": 80
}
} |
synth_e3a.1_train_00094 | Számítsd ki: 15 * 15 | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "arith_infix",
"seed_index": 94,
"split": "train",
"params": {
"a": 15,
"op": "*",
"b": 15
}
} |
synth_e3a.1_train_00095 | Mi az x értéke, ha 5x + 17 = 32? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "linear_eq",
"seed_index": 95,
"split": "train",
"params": {
"coef": 5,
"op": "+",
"b": 17,
"c": 32
}
} |
synth_e3a.1_train_00096 | A értéke 10 százalékkal meghaladja D-t. D = 20. Mennyi A? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "A",
"type": "variable",
"label": "A",... | {
"generator_version": "e3a.1",
"family": "percent_greater",
"seed_index": 96,
"split": "train",
"params": {
"larger": "A",
"base": "D",
"pct": 10,
"val": 20
}
} |
synth_e3a.1_train_00097 | Másodfokú egyenlet: x^2 + 5x + 6 = 0. Oldd meg! | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "quadratic",
"seed_index": 97,
"split": "train",
"params": {
"op1": "+",
"b": 5,
"op2": "+",
"c": 6
}
} |
synth_e3a.1_train_00098 | Ismert két befogó (3 és 4) egy derékszögű háromszögben. Mekkora az átfogó? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "euclidean",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "T",
"type": "triangle",
"label":... | {
"generator_version": "e3a.1",
"family": "pythagorean",
"seed_index": 98,
"split": "train",
"params": {
"a": 3,
"b": 4
}
} |
synth_e3a.1_train_00099 | Háromszög szögei közül kettő: 74° és 33°. Mennyi a harmadik? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "euclidean",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "T",
"type": "triangle",
"label":... | {
"generator_version": "e3a.1",
"family": "angle_sum",
"seed_index": 99,
"split": "train",
"params": {
"a": 74,
"b": 33
}
} |
synth_e3a.1_train_00100 | Mi 12 és 12 legnagyobb közös osztója? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "integer",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "gcd",
"seed_index": 100,
"split": "train",
"params": {
"a": 12,
"b": 12
}
} |
synth_e3a.1_train_00101 | Ismert két befogó (7 és 24) egy derékszögű háromszögben. Mekkora az átfogó? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "euclidean",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "T",
"type": "triangle",
"label":... | {
"generator_version": "e3a.1",
"family": "pythagorean",
"seed_index": 101,
"split": "train",
"params": {
"a": 7,
"b": 24
}
} |
synth_e3a.1_train_00102 | Keressük x-et: x^2 - 8x - 7 = 0 (másodfokú). | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "quadratic",
"seed_index": 102,
"split": "train",
"params": {
"op1": "-",
"b": 8,
"op2": "-",
"c": 7
}
} |
synth_e3a.1_train_00104 | Egy lineáris egyenlet: 5x + 2 = 23. Határozd meg x-et! | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "x",
"type": "variable",
"label": "x",... | {
"generator_version": "e3a.1",
"family": "linear_eq",
"seed_index": 104,
"split": "train",
"params": {
"coef": 5,
"op": "+",
"b": 2,
"c": 23
}
} |
synth_e3a.1_train_00105 | Mennyi 100-nak a 20 százaléka? | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "percent_of",
"seed_index": 105,
"split": "train",
"params": {
"whole": 100,
"pct": 20
}
} |
synth_e3a.1_train_00106 | Tudjuk, hogy Q 50%-kal több, mint P, és P pont 100. Határozd meg Q-t! | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [
{
"id": "Q",
"type": "variable",
"label": "Q",... | {
"generator_version": "e3a.1",
"family": "percent_greater",
"seed_index": 106,
"split": "train",
"params": {
"larger": "Q",
"base": "P",
"pct": 50,
"val": 100
}
} |
synth_e3a.1_train_00107 | Számítsd ki: 13 * 6 | {
"schema_version": "1.0",
"status": "accepted",
"locale": "hu-HU",
"context": {
"number_system": "real",
"angle_unit": "degree",
"geometry_model": "none",
"default_unit_system": "SI",
"assumptions": []
},
"entities": [],
"statements": [],
"goals": [
{
"id": "g_det",
... | {
"generator_version": "e3a.1",
"family": "arith_infix",
"seed_index": 107,
"split": "train",
"params": {
"a": 13,
"op": "*",
"b": 6
}
} |
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